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Finding the Fourth Proportional to 190,651.14, 285,978.74 and 57,532.57

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Solution

The fourth proportional to 190,651.14, 285,978.74 and 57,532.57 is: 86,299.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,651.14 : 285,978.74 = 57,532.57 : x
  2. Step 2: Convert to fraction form
    190,651.14/285,978.74 = 57,532.57/x
  3. Step 3: Cross multiply
    190,651.14x = 285,978.74 × 57,532.57
  4. Step 4: Simplify right side
    190,651.14x = 16,453,090,874.95
  5. Step 5: Solve for x
    x = 16,453,090,874.95/190,651.14
  6. Step 6: Final answer
    x = 86,299.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.